The perimeter of a rectangle and a square are same, the length and bre

1.	The perimeter of a rectangle and a square are same, the length and breadth of rectangle is 25 cm and 15 cm respectively. Which figure has greater area?
Answer» Perimeter of rectangle = 2 (length x breadth) = 2(25 + 15) = 2(40) = 2 x 40 = 80 cm Perimeter of square = Perimeter of rectangle 4 x side = 80 ⇒ side = 80/4 = 20 cm ⇒ Area of square = side² = 20 x 20 = 400 sq. cm ⇒ Area of rectangle = length x breadth = 25 x 15 = 375 sq. cm Area of square is 400 sq. cm and area of rectangle is 375 sq. cm. Hence area of square has greater area.

The perimeter of a rectangle and a square are same, the length and breadth of rectangle is 25 cm and 15 cm respectively. Which figure has greater area?

Answer»

Perimeter of rectangle = 2 (length x breadth)

= 2(25 + 15)

= 2(40)

= 2 x 40

= 80 cm

Perimeter of square = Perimeter of rectangle

4 x side = 80 ⇒ side = 80/4 = 20 cm

⇒ Area of square = side² = 20 x 20 = 400 sq. cm

⇒ Area of rectangle = length x breadth

= 25 x 15 = 375 sq. cm

Area of square is 400 sq. cm and area of rectangle is 375 sq. cm.

Hence area of square has greater area.